We exhibit a metric continuum X and a polyhedron P such that the Cartesian product X × P fails to be the product of X and P in the shape category of topological spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-1-3,
author = {J. Dydak and S. Marde\v si\'c},
title = {A counterexample concerning products in the shape category},
journal = {Fundamenta Mathematicae},
volume = {185},
year = {2005},
pages = {39-54},
zbl = {1086.54012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-1-3}
}
J. Dydak; S. Mardešić. A counterexample concerning products in the shape category. Fundamenta Mathematicae, Tome 185 (2005) pp. 39-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-1-3/